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103220121132 = 22323217389119
BaseRepresentation
bin110000000100001100…
…1100000111000101100
3100212102120212110000100
41200020121200320230
53142343322334012
6115230233231100
710312614360522
oct1401031407054
9325376773010
10103220121132
113a859081837
1218008262490
13996c9a486b
144dd29a6312
152a41cae8dc
hex1808660e2c

103220121132 has 36 divisors (see below), whose sum is σ = 260928566080. Its totient is φ = 34405251552.

The previous prime is 103220121131. The next prime is 103220121139. The reversal of 103220121132 is 231121022301.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1032201211323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103220121131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1113669 + ... + 1202787.

Almost surely, 2103220121132 is an apocalyptic number.

103220121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103220121132 is an abundant number, since it is smaller than the sum of its proper divisors (157708444948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103220121132 is a wasteful number, since it uses less digits than its factorization.

103220121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121302 (or 121297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103220121132 its reverse (231121022301), we get a palindrome (334341143433).

The spelling of 103220121132 in words is "one hundred three billion, two hundred twenty million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 32173 64346 89119 96519 128692 178238 193038 267357 289557 356476 386076 534714 579114 802071 1069428 1158228 1604142 3208284 2867225587 5734451174 8601676761 11468902348 17203353522 25805030283 34406707044 51610060566 103220121132